Existence of a solution to Hartree-Fock equations with decreasing magnetic fields

DOI10.1016/j.na.2007.07.050zbMath1145.81445OpenAlexW2101777607MaRDI QIDQ944774

Mattias Enstedt, Michael Melgaard

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.050

zbMATH Keywords

ground statespectral boundvariational methodmagnetic Hartree-Fock equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs in connection with relativity and gravitational theory (35Q75) Molecular physics (81V55) Integro-differential operators (47G20)

Related Items

Hartree-Fock theory with a self-generated magnetic field ⋮ Stiefel and Grassmann manifolds in quantum chemistry ⋮ Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators ⋮ Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry ⋮ Unique solutions to Hartree-Fock equations for closed shell atoms ⋮ Ground state solutions to Hartree–Fock equations with magnetic fields ⋮ Non-existence of a minimizer to the magnetic Hartree-Fock functional ⋮ Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations

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